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Gnesinka [82]
3 years ago
15

In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag of sand. The platfo

rm on which the statue is placed is designed to detect the mass of the statue. If the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues.
The density of gold is about 20\text{ g/cm}^320 g/cm
3
20, start text, space, g, slash, c, m, end text, cubed. The density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm
3
2, point, 5, start text, space, g, slash, c, m, end text, cubed. The solid-gold statue can be modeled as a cylinder with height 15\text{ cm}15 cm15, start text, space, c, m, end text and radius 4\text{ cm}4 cm4, start text, space, c, m, end text.
In terms of \piπpi, what is the volume of sand Indiana Jones needs to avoid triggering the mechanism?
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

1920π

Step-by-step explanation:

First, you need to find the volume of the statue in terms of pi.

Volume of cylinder formula:

V=πr²h

V=π4²15

V=π16×15

V=240π

Then, you need to find the mass of the statue.

Mass:

Mass= density × volume

Mass=20×240π

Mass=4800π

Now, you need to find the volume. Since the sand has to weigh the same as the statue, the mass is going to stay the same. To find the volume you need to do:

V=mass of sand/density

V=4800π/2.5

That gives you your answer:

1920π

Note: I had to do the exact same problem on Khan Academy. This is right.

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Your brother is 1313 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an e
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There seems to be a typo. You wrote 1313, but I'm assuming you meant to say the fraction 1/3. If this assumption is correct, then continue with the rest of the solution. If the assumption is not correct, then ignore what I wrote below and please provide clarification of what the "1313" should represent. Thank you.

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B = your brother's age

S = your sister's age

Y = your age

All of these ages are current present day ages.

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"your brother is 1/3 your age" so B = (1/3)Y or B = Y/3.

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S = B+6

B+6 = S

B+6 = 10 ... plug in S = 10

B+6-6 = 10-6 ... subtract 6 from both sides

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B = Y/3

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Y = 12

<h3>Answer: Your age is 12 years old.</h3>

note: This answer hinges on assumption that the "1313" should be "1/3".

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